On well-posedness of the Cauchy problem for 3D MHD system in critical Sobolev-Gevrey space

DOI10.1007/s42985-021-00081-zzbMath1464.35212OpenAlexW3134569591WikidataQ115370032 ScholiaQ115370032MaRDI QIDQ2022985

Abdelkerim Chaabani

Publication date: 3 May 2021

Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42985-021-00081-z

zbMATH Keywords

existence and uniquenessMHD systemcritical Sobolev-Gevrey space

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Well-posedness and numerical results to 3D periodic Burgers' equation in Lebesgue-Gevrey class ⋮ Unnamed Item

Cites Work

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• On the blow-up criterion of 3D-NSE in Sobolev-Gevrey spaces
• Analyticity of solutions for a generalized Euler equation
• Gevrey class regularity for the solutions of the Navier-Stokes equations
• On the Gevrey regularity of solutions to the 3D ideal MHD equations
• Well-posedness to 3D Burgers' equation in critical Gevrey Sobolev spaces
• On the exponential type explosion of Navier-Stokes equations
• Some mathematical questions related to the mhd equations
• The Three-Dimensional Navier–Stokes Equations
• Determining modes and fractal dimension of turbulent flows
• Stability of the Couette flow at high Reynolds numbers in two dimensions and three dimensions

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